Answer:
$32
Step-by-step explanation:
Multiply $40*3000 students. Subtract 2 students that might receive a $12000 policy each. Divide by 3000 students to find average payout.
The difference of two numbers is 8. If the sum of the smaller number and the square of the larger number is 148, what is the smaller number?
Answer:
C
Step-by-step explanation:
A math class consists of 25 students, 15 male and 10 female. Three students
are selected at random to participate in a probability experiment. Compute the
probability that
a. a male is selected, then two females.
b. a female is selected, then two males.
c. two females are selected, then one male.
d. three males are selected.
e. three females are selected.
Answer:
a) 675 b) 1050 c) 675 d)455 e) 120
Step-by-step explanation:
Answer:a, 0,293
Step-by-step explanatThe number of ways to get any 3 students from 25 given students is :
25C3 = 2300
Let A be the event that has 1 Male and 2 Female
15C1*10C2=675
The probability of having 1 Male and 2 Female is
675/2300=0.293 ion:
If 12th term of an ap is -13 and sum of 1st four term is 24. What is the sum of first 20 terms
Answer:
-200
Step-by-step explanation:
ATQ, a+11d=-13 and a+a+d+a+2d+a+3d=24, 4a+6d=24. Solving this, we get a=9 and d=-2. Sum of the first 20 terms is 10*(18+(19)*(-2))=-200
How many square inches of sheet metal are used to make the vent transition shown? (The ends are open.)
Answer:
Area of the metal sheet required = 364 square inches
Step-by-step explanation:
Area of the metal sheet required = Surface area of the lateral sides of the vent transition
Since, lateral sides of the vent is in the shape of a trapezoid,
Therefore, surface area of the vent = 4(Surface area of one lateral side)
= [tex]4[\frac{1}{2}(b_1+b_2)h][/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are two parallel sides and [tex]h[/tex] is the distance between these parallel sides.
Surface area of the vent = [tex]4[\frac{1}{2}(8+5)14][/tex]
= 364 square inches
Therefore, area of the metal sheet required = 364 square inches
there were 578 tickets sold for a basket all game. the activity cardholder's tickets cost $1.25 and the non-cardholders' tickets cost $2.00. the total amount of money collected was $880.00. how many of each kind of ticket were sold?
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Answer:
non-cardholder: 210cardholder: 368Step-by-step explanation:
Let n represent the number of non-cardholder tickets sold. Then total revenue is ...
2.00n +1.25(578 -n) = 880.00
0.75n + 722.50 = 880.00
0.75n = 157.50 . . . . . . . . . . . subtract 722.50
n = 210 . . . . . . . . . . . . . . . divide by 0.75. Number of non-cardholder tickets
578 -n = 368 . . . . . number of cardholder tickets
368 cardholder and 210 non-cardholder tickets were sold.
give me a answer, pls
Answer:
C
Step-by-step explanation:
A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for a.
2 in.
4 in.
O A = 33.12 square inches, P = 20.56 inches
O A 14.28 square inches, P20.56 inches
A = 33.12 square inches, P = 14.28 inches
O A 14.28 square inches, P = 14.28 inches
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Answer:
(d) A = 14.28 in², P = 14.28 in
Step-by-step explanation:
The figure is wholly contained within a 4" square, which has an area of (4 in)² = 16 in², and a perimeter of 4(4 in) = 16 in. Since the figure is smaller in area and has a shorter perimeter (the top corners are rounded, not square), both answer values must be less than 16.
The only reasonable choice is the last choice: 14.28 in², 14.28 in.
__
If you want to figure this out in detail, you have the area of a rectangle that is 2 in by 4 in, and the area of a semicircle of radius 2 in. The total area is ...
A = LW +1/2πr²
A = (2 in)(4 in) + 1/2(3.14)(2 in)² = 8 in² +6.28 in²
A = 14.28 in²
__
The perimeter is half that of a 4" square, plus half that of a 4" circle.
P = 1/2(4(4 in) +π(4 in)) = (2 in)(4 +π) = 2(7.14) in
P = 14.28 in
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
Answer:
x=4
Step-by-step explanation:
log5(x+1)=1, (x+1)=5, x=4
Answer:
x= -6
Step-by-step explanation:
i got it wrong and the answer is -6
Which ratio is equal to 27 : 81?
Answer:
1:3
Step-by-step explanation:
27 : 81
Divide each side by 27
27/27 : 81/27
1:3
(abc - 4d) + (abc + 4d)
Can you solve it please?
Answer:
2abc
Step-by-step explanation:
●●●●○○○○□□□□■■■■
Answer:
=> 2abc
Step-by-step explanation:
=> (abc - 4d) + (abc + 4d)
=> abc - 4d + abc + 4d
=> abc + abc
=> 2 abc
1. The lease common multiple of 3, 4, 6, and 8 is
OA. 8.
OB. 24.
O C.72.
OD.96.
Answer:
B. 24.
Step-by-step explanation:
3
4 = 2*2
6 = 2*3
8 = 2*2*2
LCM = 2*2*2*3 = 24
Tìm diện tích của mặt. Phần mặt x2+y2+z2=9 nằm bên trên mặt phẳng z=1.
If you're familiar with surface integrals, start by parameterizing the surface by the vector-valued function,
r(u, v) = 3 cos(u) sin(v) i + 3 sin(u) sin(v) j + 3 cos(v) k
with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(1/√8).
Then the area of the surface (I denote it by S) is
[tex]\displaystyle\iint_S\mathrm dA = \int_0^{2\pi}\int_0^{\arccos\left(1/\sqrt8\right)}\left\|\dfrac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm dv\,\mathrm du \\\\ = \int_0^{2\pi}\int_0^{\arccos\left(1/\sqrt8\right)}9\sin(v)\,\mathrm dv\,\mathrm du \\\\ =18\pi \int_0^{\arccos\left(1/\sqrt8\right)}\sin(v)\,\mathrm dv = \boxed{\frac{9(4-\sqrt2)\pi}2}[/tex]
11. What is the reciprocal of 6/5?
OA. 12/20
OB.11/5
OC.1
OD.576
Answer: The answer is D, 5/6.
Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.
Answer:
5/6
Step-by-step explanation:
The reciprocal is where you flip the fraction
6/5 -> reciprocal -> 5/6
I'm not sure about your answer choices tho, sorry
Given the triangle below, what is the length of the third side, rounded to the nearest whole number?
Answer:
Step-by-step explanation:
You need the Law of Cosines for this, namely:
[tex]x^2=21^2+14^2-2(21)(14)cos58[/tex] where x is the missing side.
[tex]x^2=441+196-311.5925[/tex] and
[tex]x^2=325.4075[/tex] so
x = 18.0 or just 18
A toy car costs $60. It is reduced to 10% in a sale. How much does it cost in a sale ?
Answer:
$54
Step-by-step explanation:
10% of $60 is $6
$60-$6=$54
Which of the answer choices has matrix multiplication defined?
Answer:
AB
Step-by-step explanation:
For the multiplication of two matrices to be defined then the number of columns of the first matrix must be equal to the number of rows of the second matrix. For example, 2*3 and 3*2 matrices can be multiplied since the number of columns of the first matrix must be equal to the number of rows of the second matrix.
Matrix A = 2*2
Matrix B = 2*3
Matrix C = 3*3
Matrix D = 1 * 3
From the matrices given, we can see that the matrices that can be multiplied together are AB and BC since the number of columns of the first matrix must be equal to the number of rows of the second matrix. Hence the correct option is AB
3a + 2b = 9
and
8x + y = 60
(i) What is the value of 9a + 6b?
(ii) What is the value of 4x + 3y?
Answer:
i dont kbow lol gggggggggg
ou invested 7000 between two accounts paying 4% and 9% annual interest, respectively. If the total interest earned for the year was $430 how much was invested at each rate? $ nothing was invested at and $ nothing was invested at
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Answer:
$3000 at 9%$4000 at 4%Step-by-step explanation:
Let x represent the amount invested at 9%. Then 7000-x was invested at 4% and the interest earned was ...
9%·x +4%(7000-x) = 430
5%·x +280 = 430 . . . . . . . . . simplify
0.05x = 150 . . . . . . . . . . . subtract 280
x = 3000 . . . . . . . . . . divide by 0.05
$3000 was invested at 9%; $4000 was invested at 4%.
Functions f and g are defined for all real
numbers. The function f has zeros at -2, 3, and 7:
and the function g has zeros at -3, -1, 4, and 7.
How many distinct zeros does the product
function f g have?
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Answer:
6
Step-by-step explanation:
The number of distinct zeros in the product will be the union of the sets of zeros. Duplicated values are not distinct, so show in the union of sets only once.
F = {-2, 3, 7}
G = {-3, -1, 4, 7}
F∪G = {-3, -2, -1, 3, 4, 7} . . . . . . a 6-element set
The product has 6 distinct zeros.
_____
As you may notice in the graph, the duplicated zero has a multiplicity of 2 in the product.
Give the degree of the polynomial. -5-5x2wy4-y4x2-4w3
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Answer:
7
Step-by-step explanation:
The degree of each term is the sum of the degrees of the variables in it.
Term, Degrees
-5, 0
-5x^2wy^4, x:2, w:1, y:4 -- term degree = 2+1+4 = 7
-y^4x^2, y:4, x:2 -- term degree = 4+2 = 6
-4w^3, w:3 -- term degree = 3
The highest of these is 7, so the degree of this polynomial is 7.
i need the answer to this help PLEASE
Answer:
B
Step-by-step explanation:
At 5 hours the distance traveled is 200 miles. 9 hours is less than double 5 hours so it is 360 miles.
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
i have a time limit someone answer fast plsss (taking this down at 4:20 pm)
Answer:
The lines are:
3x - 2y = 4and
9x - 6y = 12Since after multiplying by -3 the equations sum to 0, the equations are same.
Same equations produce overlapping lines, hence you can see one line only.
Divide second equation by 3
3x-2y=4LInes are same so you can see only one line
Choose the best answer from the choices below:
If a radius of a circle bisects a chord which is not a diameter, then ____.
Answer: the radius is perpendicular to the chord.
If a radius of a circle bisects a chord which is not diameter, then the radius is perpendicular to the chord.
Answered by Gauthmath must click thanks and mark brainliest
The radius is perpendicular to the chord.
Does the radius of the circle bisect the string?If the radius of the circle is perpendicular to the chord of the circle, the radius bisects the chord. The two strings are congruent only if they are equidistant from the center of the circle.
No, not all strings in a circle are diameters because the diameter passes through the center of the circle. Therefore, all the diameters of a circle are also strings, not all the strings of a circle.
Learn more about chord at
https://brainly.com/question/1869643
#SPJ2
An angle, Theta. is in standard position. The terminal side of the angle passes through the point (6.-5).
Find sin Theta
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Answer:
sin(θ) = (-5√61)/61
Step-by-step explanation:
The distance from the origin to the given point is ...
d = √(6² +(-5)²) = √61
The sine of the angle is the ratio ...
sin(θ) = y/d = -5/√61
Rationalizing the denominator gives us ...
sin(θ) = (-5√61)/61
what is the perfect square of 96
Step-by-step explanation:
We determined above that the greatest perfect square from the list of all factors of 96 is 16.
1. Đường kính của một loại trục máy là một đại lượng ngẫu nhiên có phân phối chuẩn N (μ = 250mm, σ2 = 25mm2). Trục máy được gọi là hợp quy cách nếu đường kính từ 245mm đến 255mm. Cho máy sản xuất 100 trục. Tính xác suất để:
a. Có 50 trục hợp quy cách.
b. Có không quá 80 trục hợp quy cách
Answer:
please ask in English
Step-by-step explanation:
then I can help
what is the volume of the solid?
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Answer:
(9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Step-by-step explanation:
The area of the hexagon is given by the formula ...
A = (3/2)√3·s^2 . . . . for side length s
The area of the hexagonal face of this solid is ...
A = (3/2)√3·(2 ft)^2 = 6√3 ft^2
__
The area of the circular hole in the hexagonal face is ...
A = πr^2
The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.
A = π(1 ft)^2 = π ft^2
Then the area of the "solid" part of the face of the figure is ...
A = (6√3 -π) ft^2
__
The volume is ...
V = Bh . . . . . where B is the area of the base of the prism, and h is its height
V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3
plz help asap
Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was higher than Jan's score and higher than Maxim's score. What could be Peter's least possible score?
Answer:
91
Step-by-step explanation:
269 / 3 = about 90
Peter score = 90
others could be 90,81
+1 to peter
=91
anyone know the answer?
Answer:
C
Step-by-step explanation:
As the graph is shifted to the left, x -> (x+4)
g(x) = (x+4)^2+5(x+4)-6
Express -6 as the sum of a negative integer and a whole number
